SOLUTION: Glass Bowls & Plate Manufacturing, Inc. makes glass bowls and plates, and it can sell all of the product that it makes each week. Glassware is made in two stages: (1) molten glass
Question 1150842: Glass Bowls & Plate Manufacturing, Inc. makes glass bowls and plates, and it can sell all of the product that it makes each week. Glassware is made in two stages: (1) molten glass is taken from a furnace and placed at the end of a blowpipe. Skilled glassblowers then mould the glass into the desired shape. (2) the glass is allowed to cool in a controlled way inside a second furnace (called an annealer) to reduce stress and prevent the glass from cracking. The firm employs two glassblowers who each work a 35-hour week and the total time available each week for annealing is 130 hours. The main raw material used in glassmaking is silica sand and the studio orders 45kgs. each week. A glass bowl and plate each require 1kg. of sand. It takes a glassblower 2 hours to make a bowl and 1 hour to make a plate. The time needed to cool a bowl in an annealer is 4 hours and a plate requires 1 hour. The profit made from selling a bowl and a plate is 150 and 100 pesos, respectively. Considering limited resources, how many glass bowls and plates should be manufactured each week? What is the objective function? What are the constraints? Show a graphical and an algebraic solution. Answer by Alan3354(69443) (Show Source):
